Quiz on Polar Equations. Use Radians.
1.
Convert 2x+7y = 0 from rectangular to polar form.
2. Convert r( -2 sin
+ 3 cos
) = 2 from polar to rectangular form.
3. Convert the following rectangular coordinates to polar coordinates.
a.) (1,3)
b.) (2.34, -4.81)
4. Convert the following polar coordinates to rectangular coordinates. Note: “pi” means the ratio
of Circumference to diameter in any circle.
a.) (4.27, 14pi/15)
b.) (-2, 3pi/4)
5. Find the intersection points(s) between 0 <
hand.
a.)
r = cos
r = 1 - cos
b.)
r = 2 - cos
r = 3 cos
< 2pi of the sets of polar equations by
6. Sketch the following polar equationby setting x = r cos
plotting x and y coordinates for each
and y = r sin
and
.
Write the name of the shape sketched ____________________. Include arrows in your sketch.
r = 5 + 5sin
x
0
pi/6
pi/3
pi/2
2pi/3
5pi/6
pi
y
7. Sketch the following polar equation by completing the table. Write the name of the shape
sketched. Include arrows in your sketch.
r = 8 cos 2
Shape:_____________________
r
0
r
7pi/6
pi/6
4pi/3
pi/3
3pi/2
pi/2
5pi/3
2pi/3
11pi/6
5pi/6
2pi
pi